Properties

Label 58870o
Number of curves $1$
Conductor $58870$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 58870o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58870.r1 58870o1 \([1, -1, 1, -4363, -110053]\) \(-12983567409/31360\) \(-22180332160\) \([]\) \(53760\) \(0.86423\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58870o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 58870o do not have complex multiplication.

Modular form 58870.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + q^{7} + q^{8} - 3 q^{9} - q^{10} + 3 q^{11} + 3 q^{13} + q^{14} + q^{16} - 3 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display